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Finding the Fourth Proportional to 598.61, 896.63 and 460.64

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Solution

The fourth proportional to 598.61, 896.63 and 460.64 is: 689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.61 : 896.63 = 460.64 : x
  2. Step 2: Convert to fraction form
    598.61/896.63 = 460.64/x
  3. Step 3: Cross multiply
    598.61x = 896.63 × 460.64
  4. Step 4: Simplify right side
    598.61x = 413,016.86
  5. Step 5: Solve for x
    x = 413,016.86/598.61
  6. Step 6: Final answer
    x = 689.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.